42986112 has 128 divisors (see below), whose sum is σ = 125664000. Its totient is φ = 12939264.

The previous prime is 42986107. The next prime is 42986117. The reversal of 42986112 is 21168924.

It is an interprime number because it is at equal distance from previous prime (42986107) and next prime (42986117).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (42986117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394314 + ... + 394422.

It is an arithmetic number, because the mean of its divisors is an integer number (981750).

Almost surely, 2^42986112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42986112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62832000).

42986112 is an abundant number, since it is smaller than the sum of its proper divisors (82677888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42986112 is a wasteful number, since it uses less digits than its factorization.

42986112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 42986112 is about 6556.3794887117. The cubic root of 42986112 is about 350.3020847740.

The spelling of 42986112 in words is "forty-two million, nine hundred eighty-six thousand, one hundred twelve".